The complete Brans-Dicke theories
Abstract
Given that the simple wave equation of Brans-Dicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the Bianchi identities, the consistent theories which violate the exact energy conservation equation. It is found that only three theories exist which are unambiguously determined from consistency, without imposing arbitrary functions by hand. Each of these theories possesses a specific interaction term which controls the energy exchange between the scalar field and ordinary matter. The theories contain new parameters (integration constants from the integration procedure) and when these are switched-off, Brans-Dicke theory emerges. As usually, the vacuum theories can be defined from the complete Brans-Dicke theories when the matter energy-momentum tensor vanishes.
Cite
@article{arxiv.1510.06845,
title = {The complete Brans-Dicke theories},
author = {Georgios Kofinas},
journal= {arXiv preprint arXiv:1510.06845},
year = {2016}
}
Comments
To appear in Ann. of Phys. The necessity of the construction has been relaxed and another two complete Brans-Dicke theories have been added to exhaust all uniquely derived theories